the question: y=(2-sqrtx)^{2}(3x+2)^{4}
what I know: must use combination of chain rule and product rule to get answer
my problem:
- how to get derivative of "sqrtx"
- which rule comes 1st b/w chain and product rule
the question: y=(2-sqrtx)^{2}(3x+2)^{4}
what I know: must use combination of chain rule and product rule to get answer
my problem:
- how to get derivative of "sqrtx"
- which rule comes 1st b/w chain and product rule
1. $\displaystyle \sqrt{x} = x^{1/2}$ ... use the power rule
2. use the chain rule as you proceed with the product rule ...
$\displaystyle \frac{d}{dx} ( u^2 \cdot v^4) = u^2 \cdot 4v^3 \cdot v' + v^4 \cdot 2u \cdot u'$